1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Taya2010 [7]
3 years ago
13

Determine the angle between the lines y=4x+2 and y=-x+3.

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0
The vector v_1=(4,1) is parallel to the line  y=4x+2
and the vector  v_2(-1,1)  is parallel to the line  y=-x+3.
On one hand  v_1v_2=(-1)4+1^2=-3.
On the other hand  
v_1v_2=\vert v_1\vert\vert v_2\vert cos\theta\\=\sqrt{17}\sqrt{2}\cos\theta

Equating we get  \sqrt{34}\cos\theta=-3.
so  \theta=\cos^{-1}\dfrac{-3}{\sqrt{34}}=120\text{ degrees}
You might be interested in
Lynn and dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn an
uysha [10]
The experimental probability would be 33 out of 60 or 55%
6 0
3 years ago
Explain why (–4x)0 = 1, but –4x0 = –4.
hodyreva [135]
Any number raised to power of 0 is 1.
In (-4x)^0, because of the parenthesis, the whole number is being raided to 0, which gives 1.
But in -4x^0, only x is being raised to 0, thus -4x^0 = -4(1) = -4.
5 0
3 years ago
I need the length of AC to the nearest 10th. If you can explain how you got it, that will be nice, but you don’t have too
Nezavi [6.7K]

Answer:

13.5

Step-by-step explanation:

\sin 64\degree = \frac{AC}{AB}\\\\AC = AB \sin 64\degree \\\\AC = 13.481910694\\\\AC \approx 13.5

4 0
4 years ago
Read 2 more answers
-43 – 9x = -7 – 3(5x + 6)<br> Answer?
lilavasa [31]

Answer:

Simplifying

9x + 7 = 5x + -3

Reorder the terms:

7 + 9x = 5x + -3

Reorder the terms:

7 + 9x = -3 + 5x

Solving

7 + 9x = -3 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

7 + 9x + -5x = -3 + 5x + -5x

Combine like terms: 9x + -5x = 4x

7 + 4x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0

7 + 4x = -3 + 0

7 + 4x = -3

Add '-7' to each side of the equation.

7 + -7 + 4x = -3 + -7

Combine like terms: 7 + -7 = 0

0 + 4x = -3 + -7

4x = -3 + -7

Combine like terms: -3 + -7 = -10

4x = -10

Divide each side by '4'.

x = -2.5

Simplifying

x = -2.5

make me brainiest plz!!!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Evaluate this expression. (−36.28) + (−83.73)
sergeinik [125]

Answer:

-120.01

Step-by-step explanation:

I just took the test

3 0
3 years ago
Other questions:
  • List the steps to the following equation 5x - 6 = 44 then solve for x
    10·2 answers
  • Jose wants to find the cost of sales tax rewrite the formula to solve for the percent sales tax
    13·1 answer
  • Does the textbook,'Calculus with Analytic Geometry' have PDF version? That is too expensive to me and I am hesitating whether I'
    7·1 answer
  • How many kilobytes have been downloaded so far?
    10·1 answer
  • Select whether each equation has no solution, one solution, or infinitely many solutions
    14·1 answer
  • 7/10 divided by -2/5
    5·2 answers
  • Giving brainliest !!!
    14·1 answer
  • 7÷7/11=<br> Please explain for me
    5·1 answer
  • Which equation represents a line which is perpendicular to the line y=5/4x-7
    5·1 answer
  • PLS HELP ME PLS whats 2x6x8 (5/8)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!